A simplex matrix is given 01121 0 0 3 4 1 The solution is complete, so...
1) (5pts) Given the following Simplex Tableau 3 2 -8 1 1 0 0 0 X3 S1 3 -1 4 1 5 2 -5 3 S2 0 1 0 0 S3 0 0 1 0 0 0 0 1 50 a) Identify the basic and nonbasic variables in the Simplex Tableau (2pts) b) Find the pivot element, the entering variable and the exiting variable, and perform one pivot operation. (3pts)
Consider the simplex tableau given below. X1 X2 S1 S2 Р 1 4 2 3 - 3 0 1 0 0 3 24 0 -6 0 1 0 (A) The pivot element is located in column and row (B) The entering variable is (C) The exiting variable is O. (D) Enter the values after one pivot operation in the tableau below. X1 X2 S1 S2 Р 1 2 0 3 0 -4 1 1 0 12 09 96 0 1...
Consider the following tableau: 21 81 82 RHS P 0 1 1 0 3 3 2 7 2 0 0 3 1 12 -7 –12 0 0 0 a) Determine the pivot element and perform all the pivot operations for the entire pivot column to obtain the next tableau. In this next tableau that you obtained in the objective row, enter in each box below the number you have under each column. Note: Where applicable, fractions must be entered as...
1 0 -7 3 Let A= 03 -4 and b= Denote the columns of A by a, a, ay, and let W = Span{a,,a,,a3} -26 2 3 a. Is b in {a,,a,,az)? How many vectors are in {a,az.az)? b. Is b in W? How many vectors are in W? c. Show that az is in W. (Hint: Row operations are unnecessary.] a. Is b in {a,,a,,az)? Ο Νο Yes How many vectors are in {a,,a,a}? O A. Two OB. Infinitely...
(1 point) Given that the matrix [ 3 - 94 01 4 0 -6 1 1-3 -6 -36] is the augmented matrix for a linear system, use technology to perform the row operations needed to transform the matrix to reduced echelon form. Then determine if the system is consistent and if it is, find all solutions to the system. Reduced echelon form: Is the system consistent? select Solution: (21, 22, 23)=( Help: To enter a matrix use [[ ],[1] ....
Problem 12 Let B be the matrix given by A= 4 0 b b (a + b) 26 a a where a and b are indeterminates. a) (6 pts] Using row operations that exist for all values of a or b, together with cofactor expansion, compute the determinant of A expressed as a function of a and b. b) (4 pts] Use this to determine a relation between a and b that provides necessary and sufficient conditions for the matrix...
Define a substitution box, So as following table 1 0 3 2 3 2 1 0 0 2 1 3 1 1 3 2 and a substitution scheme that if we denote a 4 bit number as “b1 b2 b3 b4”, the (b1 b4) forms a 2 bit binary number that specifies a row of the above matrix and the (b2 b3) forms another 2 bit binary number that specifies a column of the matrix. The row and column lead...
4. Consider the matrix [1 0 01 A- 1 0 2-1and the vector b2 (a) Construct the augmented matrix [Alb] and use elementary row operations to trans- form it to reduced row echelon form. (b) Find a basis for the column space of A. (c) Express the vectors v4 and vs, which are column vectors of column 4 and 5 of A, as linear combinations of the vectors in the basis found in (b) (d) Find a basis for the...
Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A using cofactor expansion of row 3. (ii) Is A invertible? If so, give the third column of A1 (you do not have to simplify any fractions) (b) Let B be the matrix 0 0 4 0 2 8 0 4 2 1 0 0 0 7 Use row operations to find the determinant of B. Make...
hey I need help finishing this simplex program. public class Main { /** * @param args */ public static void main(String[] args) { // TODO Auto-generated method stub //FAIRE LES TODO dans Simplex test1();test2(); } private static void test1() { double[][] A = { { -1, 1, 0 }, { 1, 4, 0 }, { 2, 1, 0 }, { 3, -4, 0 }, ...